Given Independent Random Variables with Means and Standard Deviations as Shown,find

question 114

Multiple Choice

Given independent random variables with means and standard deviations as shown,find the mean and standard deviation of the variable $$x _ { 1 } + x _ { 2 } + x _ { 3 }$$ $$\begin{array} { c | c c } & \text { Mean } & \text { SD } \\\hline \mathrm { X } & 12 & 2 \\\mathrm { Y } & 50 & 11\end{array}$$

• A)? = 6,? = 19.05
• B)? = 6,? = 5.74
• C)? = 6,? = 33
• D)? = 86.60,? = 19.05
• E)? = 36,? = 3.46

---

Definitions:

Direct Labor-Hours

The total hours of labor directly involved in the manufacturing process, crucial for calculating labor costs and production efficiency.

Direct Materials Cost

The cost of raw materials that can be directly attributed to the production of goods.

Activity-Based Costing

A costing methodology that assigns overhead and indirect costs to specific products or projects based on their consumption of resources.

Direct Labor-Hours

The total hours worked directly on manufacturing a product or providing a service.